000 02388nam a22003618i 4500
001 CR9781139172165
003 UkCbUP
005 20200124160221.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 111013s1991||||enk o ||1 0|eng|d
020 _a9781139172165 (ebook)
020 _z9780521366649 (hardback)
020 _z9780521438346 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA247
_b.F755 1991
082 0 0 _a512/.74
_220
100 1 _aFröhlich, A.
_q(Albrecht),
_d1916-
_eauthor.
245 1 0 _aAlgebraic number theory /
_cA. Fröhlich, M.J. Taylor.
264 1 _aCambridge :
_bCambridge University Press,
_c1991.
300 _a1 online resource (xiv, 355 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aCambridge studies in advanced mathematics ;
_v27
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
520 _aThis book originates from graduate courses given in Cambridge and London. It provides a brisk, thorough treatment of the foundations of algebraic number theory, and builds on that to introduce more advanced ideas. Throughout, the authors emphasise the systematic development of techniques for the explicit calculation of the basic invariants, such as rings of integers, class groups, and units. Moreover they combine, at each stage of development, theory with explicit computations and applications, and provide motivation in terms of classical number-theoretic problems. A number of special topics are included that can be treated at this level but can usually only be found in research monographs or original papers, for instance: module theory of Dedekind domains; tame and wild ramifications; Gauss series and Gauss periods; binary quadratic forms; and Brauer relations. This is the only textbook at this level which combines clean, modern algebraic techniques together with a substantial arithmetic content. It will be indispensable for all practising and would-be algebraic number theorists.
650 0 _aAlgebraic number theory.
700 1 _aTaylor, Martin
_q(Martin J.),
_eauthor.
776 0 8 _iPrint version:
_z9780521366649
830 0 _aCambridge studies in advanced mathematics ;
_v27.
856 4 0 _uhttps://doi.org/10.1017/CBO9781139172165
999 _c516778
_d516776